252526664 has 64 divisors (see below), whose sum is σ = 533358000. Its totient is φ = 111283200.

The previous prime is 252526649. The next prime is 252526697. The reversal of 252526664 is 466625252.

It can be written as a sum of positive squares in 8 ways, for example, as 163072900 + 89453764 = 12770^2 + 9458^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304202 + ... + 305030.

Almost surely, 2^252526664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252526664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266679000).

252526664 is an abundant number, since it is smaller than the sum of its proper divisors (280831336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252526664 is a wasteful number, since it uses less digits than its factorization.

252526664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 252526664 is about 15891.0875650473. The cubic root of 252526664 is about 632.0756799294.

The spelling of 252526664 in words is "two hundred fifty-two million, five hundred twenty-six thousand, six hundred sixty-four".